The St. Louis manager has a record of 2,676-2,320 with four ties in a 33-year career with Oakland, the Chicago White Sox and the Cardinals.
Only Connie Mack (7,755 games over 53 years with Pittsburgh and Philadelphia) managed more major league contests.
Narveson (3-4) struck out six before giving way to Tim Dillard in the ninth. Dillard threw nine pitches to complete the shutout.
Kyle Lohse (7-3) took the loss, surrendering four runs on five hits over five innings.